fit_forecasts

Fit forecasts

source("../R/forecast.R")
library(magrittr)

experiment_gen <- coro::generator(function() {
  x <- 1
  while(TRUE) {
    coro::yield(x)
    x <- x + 1
  }
})
experiment_n <- experiment_gen()
experiment_run <- experiment_n()

part <- 2

M_all_part <- qs::qread(paste0("../data/M_all_",part,".qs"))

ts_train_test(M_all_part) -> train_test

future::plan("multisession")

models <- fit_models( train = train_test[["train"]],
            models = list( arima = fable::ARIMA,
                           fable::SNAIVE,
                           fable::RW,
                           theta = fable::THETA,
                           ets = fable::ETS,
                           nnetar = fable::NNETAR,
                           croston = fable::CROSTON,
                           ar = fable::AR))

## Warning in sqrt(diag(best$var.coef)): NaNs produced

## Warning in sqrt(diag(best$var.coef)): NaNs produced

## Warning in sqrt(diag(best$var.coef)): NaNs produced

## Warning in sqrt(diag(best$var.coef)): NaNs produced

## Warning in sqrt(diag(best$var.coef)): NaNs produced

## Warning in sqrt(diag(best$var.coef)): NaNs produced

## Warning in sqrt(diag(best$var.coef)): NaNs produced

## Warning in sqrt(diag(best$var.coef)): NaNs produced

## Warning in sqrt(diag(best$var.coef)): NaNs produced

## Warning in sqrt(diag(best$var.coef)): NaNs produced

## Warning in sqrt(diag(best$var.coef)): NaNs produced

## Warning in sqrt(diag(best$var.coef)): NaNs produced

## Warning in max(which(abs(ma) > 1e-08)): no non-missing arguments to max;
## returning -Inf

## Warning in sqrt(diag(best$var.coef)): NaNs produced

## Warning in sqrt(diag(best$var.coef)): NaNs produced

## Warning in sqrt(diag(best$var.coef)): NaNs produced

## Warning in sqrt(diag(best$var.coef)): NaNs produced

## Warning in sqrt(diag(best$var.coef)): NaNs produced

## Warning in sqrt(diag(best$var.coef)): NaNs produced

## Warning in sqrt(diag(best$var.coef)): NaNs produced

## Warning in sqrt(diag(best$var.coef)): NaNs produced

## Warning in sqrt(diag(best$var.coef)): NaNs produced

## Warning in sqrt(diag(best$var.coef)): NaNs produced

## Warning in sqrt(diag(best$var.coef)): NaNs produced

## Warning in sqrt(diag(best$var.coef)): NaNs produced

## Warning in sqrt(diag(best$var.coef)): NaNs produced

## Warning in sqrt(diag(best$var.coef)): NaNs produced

## Warning in sqrt(diag(best$var.coef)): NaNs produced

## Warning in sqrt(diag(best$var.coef)): NaNs produced

## Warning in sqrt(diag(best$var.coef)): NaNs produced

## Warning in sqrt(diag(best$var.coef)): NaNs produced

## Warning: Constant data, setting `AR(p=1, P=0)`, and `scale_inputs=FALSE`

## Warning: Constant data, setting `AR(p=1, P=0)`, and `scale_inputs=FALSE`

## Warning: Constant data, setting `AR(p=1, P=0)`, and `scale_inputs=FALSE`

## Warning: Constant data, setting `AR(p=1, P=0)`, and `scale_inputs=FALSE`

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 1
## singularities in the computation of the projection matrix results are only valid
## up to model order 0

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 1
## singularities in the computation of the projection matrix results are only valid
## up to model order 0

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 5
## singularities in the computation of the projection matrix results are only valid
## up to model order 4

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 5
## singularities in the computation of the projection matrix results are only valid
## up to model order 4

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 3
## singularities in the computation of the projection matrix results are only valid
## up to model order 2

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 4
## singularities in the computation of the projection matrix results are only valid
## up to model order 3

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 5
## singularities in the computation of the projection matrix results are only valid
## up to model order 4

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 4
## singularities in the computation of the projection matrix results are only valid
## up to model order 3

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 5
## singularities in the computation of the projection matrix results are only valid
## up to model order 4

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 5
## singularities in the computation of the projection matrix results are only valid
## up to model order 4

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 4
## singularities in the computation of the projection matrix results are only valid
## up to model order 3

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 5
## singularities in the computation of the projection matrix results are only valid
## up to model order 4

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 3
## singularities in the computation of the projection matrix results are only valid
## up to model order 2

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 4
## singularities in the computation of the projection matrix results are only valid
## up to model order 3

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 5
## singularities in the computation of the projection matrix results are only valid
## up to model order 4

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 5
## singularities in the computation of the projection matrix results are only valid
## up to model order 4

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 5
## singularities in the computation of the projection matrix results are only valid
## up to model order 4

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 5
## singularities in the computation of the projection matrix results are only valid
## up to model order 4

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 4
## singularities in the computation of the projection matrix results are only valid
## up to model order 3

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 5
## singularities in the computation of the projection matrix results are only valid
## up to model order 4

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 4
## singularities in the computation of the projection matrix results are only valid
## up to model order 3

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 5
## singularities in the computation of the projection matrix results are only valid
## up to model order 4

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 5
## singularities in the computation of the projection matrix results are only valid
## up to model order 4

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 4
## singularities in the computation of the projection matrix results are only valid
## up to model order 3

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 5
## singularities in the computation of the projection matrix results are only valid
## up to model order 4

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 5
## singularities in the computation of the projection matrix results are only valid
## up to model order 4

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 4
## singularities in the computation of the projection matrix results are only valid
## up to model order 3

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 5
## singularities in the computation of the projection matrix results are only valid
## up to model order 4

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 1
## singularities in the computation of the projection matrix results are only valid
## up to model order 0

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 2
## singularities in the computation of the projection matrix results are only valid
## up to model order 1

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 3
## singularities in the computation of the projection matrix results are only valid
## up to model order 2

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 4
## singularities in the computation of the projection matrix results are only valid
## up to model order 3

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 5
## singularities in the computation of the projection matrix results are only valid
## up to model order 4

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 2
## singularities in the computation of the projection matrix results are only valid
## up to model order 1

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 3
## singularities in the computation of the projection matrix results are only valid
## up to model order 2

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 4
## singularities in the computation of the projection matrix results are only valid
## up to model order 3

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 5
## singularities in the computation of the projection matrix results are only valid
## up to model order 4

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 3
## singularities in the computation of the projection matrix results are only valid
## up to model order 2

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 4
## singularities in the computation of the projection matrix results are only valid
## up to model order 3

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 5
## singularities in the computation of the projection matrix results are only valid
## up to model order 4

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 2
## singularities in the computation of the projection matrix results are only valid
## up to model order 1

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 3
## singularities in the computation of the projection matrix results are only valid
## up to model order 2

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 4
## singularities in the computation of the projection matrix results are only valid
## up to model order 3

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 5
## singularities in the computation of the projection matrix results are only valid
## up to model order 4

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 4
## singularities in the computation of the projection matrix results are only valid
## up to model order 3

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 5
## singularities in the computation of the projection matrix results are only valid
## up to model order 4

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 5
## singularities in the computation of the projection matrix results are only valid
## up to model order 4

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 5
## singularities in the computation of the projection matrix results are only valid
## up to model order 4

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 2
## singularities in the computation of the projection matrix results are only valid
## up to model order 1

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 4
## singularities in the computation of the projection matrix results are only valid
## up to model order 3

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 5
## singularities in the computation of the projection matrix results are only valid
## up to model order 4

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 5
## singularities in the computation of the projection matrix results are only valid
## up to model order 4

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 3
## singularities in the computation of the projection matrix results are only valid
## up to model order 2

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 4
## singularities in the computation of the projection matrix results are only valid
## up to model order 3

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 5
## singularities in the computation of the projection matrix results are only valid
## up to model order 4

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 4
## singularities in the computation of the projection matrix results are only valid
## up to model order 3

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 5
## singularities in the computation of the projection matrix results are only valid
## up to model order 4

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 4
## singularities in the computation of the projection matrix results are only valid
## up to model order 3

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 5
## singularities in the computation of the projection matrix results are only valid
## up to model order 4

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 4
## singularities in the computation of the projection matrix results are only valid
## up to model order 3

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 5
## singularities in the computation of the projection matrix results are only valid
## up to model order 4

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 3
## singularities in the computation of the projection matrix results are only valid
## up to model order 2

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 4
## singularities in the computation of the projection matrix results are only valid
## up to model order 3

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 5
## singularities in the computation of the projection matrix results are only valid
## up to model order 4

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 3
## singularities in the computation of the projection matrix results are only valid
## up to model order 2

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 4
## singularities in the computation of the projection matrix results are only valid
## up to model order 3

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 5
## singularities in the computation of the projection matrix results are only valid
## up to model order 4

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 5
## singularities in the computation of the projection matrix results are only valid
## up to model order 4

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 3
## singularities in the computation of the projection matrix results are only valid
## up to model order 2

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 4
## singularities in the computation of the projection matrix results are only valid
## up to model order 3

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 5
## singularities in the computation of the projection matrix results are only valid
## up to model order 4

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 1
## singularities in the computation of the projection matrix results are only valid
## up to model order 0

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 2
## singularities in the computation of the projection matrix results are only valid
## up to model order 1

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 3
## singularities in the computation of the projection matrix results are only valid
## up to model order 2

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 4
## singularities in the computation of the projection matrix results are only valid
## up to model order 3

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 5
## singularities in the computation of the projection matrix results are only valid
## up to model order 4

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 4
## singularities in the computation of the projection matrix results are only valid
## up to model order 3

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 5
## singularities in the computation of the projection matrix results are only valid
## up to model order 4

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 2
## singularities in the computation of the projection matrix results are only valid
## up to model order 1

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 3
## singularities in the computation of the projection matrix results are only valid
## up to model order 2

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 4
## singularities in the computation of the projection matrix results are only valid
## up to model order 3

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 5
## singularities in the computation of the projection matrix results are only valid
## up to model order 4

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 1
## singularities in the computation of the projection matrix results are only valid
## up to model order 0

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 2
## singularities in the computation of the projection matrix results are only valid
## up to model order 1

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 3
## singularities in the computation of the projection matrix results are only valid
## up to model order 2

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 4
## singularities in the computation of the projection matrix results are only valid
## up to model order 3

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 5
## singularities in the computation of the projection matrix results are only valid
## up to model order 4

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 2
## singularities in the computation of the projection matrix results are only valid
## up to model order 1

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 3
## singularities in the computation of the projection matrix results are only valid
## up to model order 2

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 4
## singularities in the computation of the projection matrix results are only valid
## up to model order 3

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 5
## singularities in the computation of the projection matrix results are only valid
## up to model order 4

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 2
## singularities in the computation of the projection matrix results are only valid
## up to model order 1

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 2
## singularities in the computation of the projection matrix results are only valid
## up to model order 1

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 5
## singularities in the computation of the projection matrix results are only valid
## up to model order 4

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 5
## singularities in the computation of the projection matrix results are only valid
## up to model order 4

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 5
## singularities in the computation of the projection matrix results are only valid
## up to model order 4

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 5
## singularities in the computation of the projection matrix results are only valid
## up to model order 4

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 1
## singularities in the computation of the projection matrix results are only valid
## up to model order 0

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 4
## singularities in the computation of the projection matrix results are only valid
## up to model order 3

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 5
## singularities in the computation of the projection matrix results are only valid
## up to model order 4

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 2
## singularities in the computation of the projection matrix results are only valid
## up to model order 1

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 3
## singularities in the computation of the projection matrix results are only valid
## up to model order 2

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 4
## singularities in the computation of the projection matrix results are only valid
## up to model order 3

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 1
## singularities in the computation of the projection matrix results are only valid
## up to model order 0

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 2
## singularities in the computation of the projection matrix results are only valid
## up to model order 1

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 3
## singularities in the computation of the projection matrix results are only valid
## up to model order 2

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 4
## singularities in the computation of the projection matrix results are only valid
## up to model order 3

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 5
## singularities in the computation of the projection matrix results are only valid
## up to model order 4

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 4
## singularities in the computation of the projection matrix results are only valid
## up to model order 3

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 5
## singularities in the computation of the projection matrix results are only valid
## up to model order 4

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 4
## singularities in the computation of the projection matrix results are only valid
## up to model order 3

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 5
## singularities in the computation of the projection matrix results are only valid
## up to model order 4

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 3
## singularities in the computation of the projection matrix results are only valid
## up to model order 2

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 4
## singularities in the computation of the projection matrix results are only valid
## up to model order 3

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 3
## singularities in the computation of the projection matrix results are only valid
## up to model order 2

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 4
## singularities in the computation of the projection matrix results are only valid
## up to model order 3

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 5
## singularities in the computation of the projection matrix results are only valid
## up to model order 4

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 4
## singularities in the computation of the projection matrix results are only valid
## up to model order 3

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 5
## singularities in the computation of the projection matrix results are only valid
## up to model order 4

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 3
## singularities in the computation of the projection matrix results are only valid
## up to model order 2

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 4
## singularities in the computation of the projection matrix results are only valid
## up to model order 3

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 5
## singularities in the computation of the projection matrix results are only valid
## up to model order 4

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 5
## singularities in the computation of the projection matrix results are only valid
## up to model order 4

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 5
## singularities in the computation of the projection matrix results are only valid
## up to model order 4

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 3
## singularities in the computation of the projection matrix results are only valid
## up to model order 2

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 4
## singularities in the computation of the projection matrix results are only valid
## up to model order 3

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 5
## singularities in the computation of the projection matrix results are only valid
## up to model order 4

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 3
## singularities in the computation of the projection matrix results are only valid
## up to model order 2

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 4
## singularities in the computation of the projection matrix results are only valid
## up to model order 3

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 5
## singularities in the computation of the projection matrix results are only valid
## up to model order 4

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 5
## singularities in the computation of the projection matrix results are only valid
## up to model order 4

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 4
## singularities in the computation of the projection matrix results are only valid
## up to model order 3

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 5
## singularities in the computation of the projection matrix results are only valid
## up to model order 4

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 5
## singularities in the computation of the projection matrix results are only valid
## up to model order 4

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 1
## singularities in the computation of the projection matrix results are only valid
## up to model order 0

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 2
## singularities in the computation of the projection matrix results are only valid
## up to model order 1

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 5
## singularities in the computation of the projection matrix results are only valid
## up to model order 4

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 4
## singularities in the computation of the projection matrix results are only valid
## up to model order 3

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 5
## singularities in the computation of the projection matrix results are only valid
## up to model order 4

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 5
## singularities in the computation of the projection matrix results are only valid
## up to model order 4

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 1
## singularities in the computation of the projection matrix results are only valid
## up to model order 0

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 2
## singularities in the computation of the projection matrix results are only valid
## up to model order 1

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 3
## singularities in the computation of the projection matrix results are only valid
## up to model order 2

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 2
## singularities in the computation of the projection matrix results are only valid
## up to model order 1

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 3
## singularities in the computation of the projection matrix results are only valid
## up to model order 2

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 2
## singularities in the computation of the projection matrix results are only valid
## up to model order 1

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 5
## singularities in the computation of the projection matrix results are only valid
## up to model order 4

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 4
## singularities in the computation of the projection matrix results are only valid
## up to model order 3

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 5
## singularities in the computation of the projection matrix results are only valid
## up to model order 4

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 5
## singularities in the computation of the projection matrix results are only valid
## up to model order 4

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 5
## singularities in the computation of the projection matrix results are only valid
## up to model order 4

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 3
## singularities in the computation of the projection matrix results are only valid
## up to model order 2

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 4
## singularities in the computation of the projection matrix results are only valid
## up to model order 3

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 5
## singularities in the computation of the projection matrix results are only valid
## up to model order 4

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 3
## singularities in the computation of the projection matrix results are only valid
## up to model order 2

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 4
## singularities in the computation of the projection matrix results are only valid
## up to model order 3

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 5
## singularities in the computation of the projection matrix results are only valid
## up to model order 4

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 5
## singularities in the computation of the projection matrix results are only valid
## up to model order 4

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 5
## singularities in the computation of the projection matrix results are only valid
## up to model order 4

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 4
## singularities in the computation of the projection matrix results are only valid
## up to model order 3

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 5
## singularities in the computation of the projection matrix results are only valid
## up to model order 4

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 4
## singularities in the computation of the projection matrix results are only valid
## up to model order 3

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 5
## singularities in the computation of the projection matrix results are only valid
## up to model order 4

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 4
## singularities in the computation of the projection matrix results are only valid
## up to model order 3

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 5
## singularities in the computation of the projection matrix results are only valid
## up to model order 4

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 5
## singularities in the computation of the projection matrix results are only valid
## up to model order 4

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 5
## singularities in the computation of the projection matrix results are only valid
## up to model order 4

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 1
## singularities in the computation of the projection matrix results are only valid
## up to model order 0

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 2
## singularities in the computation of the projection matrix results are only valid
## up to model order 1

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 3
## singularities in the computation of the projection matrix results are only valid
## up to model order 2

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 4
## singularities in the computation of the projection matrix results are only valid
## up to model order 3

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 5
## singularities in the computation of the projection matrix results are only valid
## up to model order 4

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 3
## singularities in the computation of the projection matrix results are only valid
## up to model order 2

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 4
## singularities in the computation of the projection matrix results are only valid
## up to model order 3

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 5
## singularities in the computation of the projection matrix results are only valid
## up to model order 4

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 4
## singularities in the computation of the projection matrix results are only valid
## up to model order 3

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 5
## singularities in the computation of the projection matrix results are only valid
## up to model order 4

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 5
## singularities in the computation of the projection matrix results are only valid
## up to model order 4

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 5
## singularities in the computation of the projection matrix results are only valid
## up to model order 4

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 4
## singularities in the computation of the projection matrix results are only valid
## up to model order 3

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 5
## singularities in the computation of the projection matrix results are only valid
## up to model order 4

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 5
## singularities in the computation of the projection matrix results are only valid
## up to model order 4

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 3
## singularities in the computation of the projection matrix results are only valid
## up to model order 2

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 4
## singularities in the computation of the projection matrix results are only valid
## up to model order 3

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 5
## singularities in the computation of the projection matrix results are only valid
## up to model order 4

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 3
## singularities in the computation of the projection matrix results are only valid
## up to model order 2

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 4
## singularities in the computation of the projection matrix results are only valid
## up to model order 3

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 5
## singularities in the computation of the projection matrix results are only valid
## up to model order 4

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 3
## singularities in the computation of the projection matrix results are only valid
## up to model order 2

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 4
## singularities in the computation of the projection matrix results are only valid
## up to model order 3

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 5
## singularities in the computation of the projection matrix results are only valid
## up to model order 4

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 5
## singularities in the computation of the projection matrix results are only valid
## up to model order 4

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 4
## singularities in the computation of the projection matrix results are only valid
## up to model order 3

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 5
## singularities in the computation of the projection matrix results are only valid
## up to model order 4

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 2
## singularities in the computation of the projection matrix results are only valid
## up to model order 1

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 3
## singularities in the computation of the projection matrix results are only valid
## up to model order 2

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 4
## singularities in the computation of the projection matrix results are only valid
## up to model order 3

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 5
## singularities in the computation of the projection matrix results are only valid
## up to model order 4

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 4
## singularities in the computation of the projection matrix results are only valid
## up to model order 3

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 5
## singularities in the computation of the projection matrix results are only valid
## up to model order 4

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 4
## singularities in the computation of the projection matrix results are only valid
## up to model order 3

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 5
## singularities in the computation of the projection matrix results are only valid
## up to model order 4

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 5
## singularities in the computation of the projection matrix results are only valid
## up to model order 4

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 3
## singularities in the computation of the projection matrix results are only valid
## up to model order 2

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 4
## singularities in the computation of the projection matrix results are only valid
## up to model order 3

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 5
## singularities in the computation of the projection matrix results are only valid
## up to model order 4

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 4
## singularities in the computation of the projection matrix results are only valid
## up to model order 3

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 5
## singularities in the computation of the projection matrix results are only valid
## up to model order 4

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 3
## singularities in the computation of the projection matrix results are only valid
## up to model order 2

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 4
## singularities in the computation of the projection matrix results are only valid
## up to model order 3

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 5
## singularities in the computation of the projection matrix results are only valid
## up to model order 4

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 4
## singularities in the computation of the projection matrix results are only valid
## up to model order 3

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 5
## singularities in the computation of the projection matrix results are only valid
## up to model order 4

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 3
## singularities in the computation of the projection matrix results are only valid
## up to model order 2

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 4
## singularities in the computation of the projection matrix results are only valid
## up to model order 3

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 5
## singularities in the computation of the projection matrix results are only valid
## up to model order 4

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 3
## singularities in the computation of the projection matrix results are only valid
## up to model order 2

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 4
## singularities in the computation of the projection matrix results are only valid
## up to model order 3

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 5
## singularities in the computation of the projection matrix results are only valid
## up to model order 4

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 4
## singularities in the computation of the projection matrix results are only valid
## up to model order 3

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 5
## singularities in the computation of the projection matrix results are only valid
## up to model order 4

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 4
## singularities in the computation of the projection matrix results are only valid
## up to model order 3

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 5
## singularities in the computation of the projection matrix results are only valid
## up to model order 4

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 3
## singularities in the computation of the projection matrix results are only valid
## up to model order 2

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 4
## singularities in the computation of the projection matrix results are only valid
## up to model order 3

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 5
## singularities in the computation of the projection matrix results are only valid
## up to model order 4

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 3
## singularities in the computation of the projection matrix results are only valid
## up to model order 2

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 4
## singularities in the computation of the projection matrix results are only valid
## up to model order 3

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 5
## singularities in the computation of the projection matrix results are only valid
## up to model order 4

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 4
## singularities in the computation of the projection matrix results are only valid
## up to model order 3

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 5
## singularities in the computation of the projection matrix results are only valid
## up to model order 4

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 5
## singularities in the computation of the projection matrix results are only valid
## up to model order 4

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 5
## singularities in the computation of the projection matrix results are only valid
## up to model order 4

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 5
## singularities in the computation of the projection matrix results are only valid
## up to model order 4

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 2
## singularities in the computation of the projection matrix results are only valid
## up to model order 1

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 3
## singularities in the computation of the projection matrix results are only valid
## up to model order 2

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 4
## singularities in the computation of the projection matrix results are only valid
## up to model order 3

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 5
## singularities in the computation of the projection matrix results are only valid
## up to model order 4

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 3
## singularities in the computation of the projection matrix results are only valid
## up to model order 2

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 4
## singularities in the computation of the projection matrix results are only valid
## up to model order 3

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 5
## singularities in the computation of the projection matrix results are only valid
## up to model order 4

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 4
## singularities in the computation of the projection matrix results are only valid
## up to model order 3

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 5
## singularities in the computation of the projection matrix results are only valid
## up to model order 4

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 4
## singularities in the computation of the projection matrix results are only valid
## up to model order 3

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 5
## singularities in the computation of the projection matrix results are only valid
## up to model order 4

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 5
## singularities in the computation of the projection matrix results are only valid
## up to model order 4

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 4
## singularities in the computation of the projection matrix results are only valid
## up to model order 3

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 5
## singularities in the computation of the projection matrix results are only valid
## up to model order 4

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 5
## singularities in the computation of the projection matrix results are only valid
## up to model order 4

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 3
## singularities in the computation of the projection matrix results are only valid
## up to model order 2

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 4
## singularities in the computation of the projection matrix results are only valid
## up to model order 3

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 5
## singularities in the computation of the projection matrix results are only valid
## up to model order 4

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 4
## singularities in the computation of the projection matrix results are only valid
## up to model order 3

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 5
## singularities in the computation of the projection matrix results are only valid
## up to model order 4

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 5
## singularities in the computation of the projection matrix results are only valid
## up to model order 4

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 4
## singularities in the computation of the projection matrix results are only valid
## up to model order 3

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 5
## singularities in the computation of the projection matrix results are only valid
## up to model order 4

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 4
## singularities in the computation of the projection matrix results are only valid
## up to model order 3

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 5
## singularities in the computation of the projection matrix results are only valid
## up to model order 4

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 5
## singularities in the computation of the projection matrix results are only valid
## up to model order 4

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 5
## singularities in the computation of the projection matrix results are only valid
## up to model order 4

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 5
## singularities in the computation of the projection matrix results are only valid
## up to model order 4

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 5
## singularities in the computation of the projection matrix results are only valid
## up to model order 4

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 4
## singularities in the computation of the projection matrix results are only valid
## up to model order 3

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 5
## singularities in the computation of the projection matrix results are only valid
## up to model order 4

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 2
## singularities in the computation of the projection matrix results are only valid
## up to model order 1

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 3
## singularities in the computation of the projection matrix results are only valid
## up to model order 2

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 4
## singularities in the computation of the projection matrix results are only valid
## up to model order 3

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 5
## singularities in the computation of the projection matrix results are only valid
## up to model order 4

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 5
## singularities in the computation of the projection matrix results are only valid
## up to model order 4

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 5
## singularities in the computation of the projection matrix results are only valid
## up to model order 4

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 4
## singularities in the computation of the projection matrix results are only valid
## up to model order 3

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 5
## singularities in the computation of the projection matrix results are only valid
## up to model order 4

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 4
## singularities in the computation of the projection matrix results are only valid
## up to model order 3

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 5
## singularities in the computation of the projection matrix results are only valid
## up to model order 4

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 5
## singularities in the computation of the projection matrix results are only valid
## up to model order 4

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 3
## singularities in the computation of the projection matrix results are only valid
## up to model order 2

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 4
## singularities in the computation of the projection matrix results are only valid
## up to model order 3

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 5
## singularities in the computation of the projection matrix results are only valid
## up to model order 4

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 2
## singularities in the computation of the projection matrix results are only valid
## up to model order 1

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 3
## singularities in the computation of the projection matrix results are only valid
## up to model order 2

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 4
## singularities in the computation of the projection matrix results are only valid
## up to model order 3

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 5
## singularities in the computation of the projection matrix results are only valid
## up to model order 4

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 4
## singularities in the computation of the projection matrix results are only valid
## up to model order 3

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 5
## singularities in the computation of the projection matrix results are only valid
## up to model order 4

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 5
## singularities in the computation of the projection matrix results are only valid
## up to model order 4

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 2
## singularities in the computation of the projection matrix results are only valid
## up to model order 1

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 3
## singularities in the computation of the projection matrix results are only valid
## up to model order 2

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 4
## singularities in the computation of the projection matrix results are only valid
## up to model order 3

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 5
## singularities in the computation of the projection matrix results are only valid
## up to model order 4

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 5
## singularities in the computation of the projection matrix results are only valid
## up to model order 4

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 5
## singularities in the computation of the projection matrix results are only valid
## up to model order 4

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 2
## singularities in the computation of the projection matrix results are only valid
## up to model order 1

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 3
## singularities in the computation of the projection matrix results are only valid
## up to model order 2

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 3
## singularities in the computation of the projection matrix results are only valid
## up to model order 2

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 4
## singularities in the computation of the projection matrix results are only valid
## up to model order 3

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 3
## singularities in the computation of the projection matrix results are only valid
## up to model order 2

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 4
## singularities in the computation of the projection matrix results are only valid
## up to model order 3

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 5
## singularities in the computation of the projection matrix results are only valid
## up to model order 4

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 4
## singularities in the computation of the projection matrix results are only valid
## up to model order 3

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 5
## singularities in the computation of the projection matrix results are only valid
## up to model order 4

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 3
## singularities in the computation of the projection matrix results are only valid
## up to model order 2

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 4
## singularities in the computation of the projection matrix results are only valid
## up to model order 3

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 5
## singularities in the computation of the projection matrix results are only valid
## up to model order 4

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 4
## singularities in the computation of the projection matrix results are only valid
## up to model order 3

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 5
## singularities in the computation of the projection matrix results are only valid
## up to model order 4

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 4
## singularities in the computation of the projection matrix results are only valid
## up to model order 3

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 5
## singularities in the computation of the projection matrix results are only valid
## up to model order 4

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 4
## singularities in the computation of the projection matrix results are only valid
## up to model order 3

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 5
## singularities in the computation of the projection matrix results are only valid
## up to model order 4

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 4
## singularities in the computation of the projection matrix results are only valid
## up to model order 3

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 5
## singularities in the computation of the projection matrix results are only valid
## up to model order 4

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 5
## singularities in the computation of the projection matrix results are only valid
## up to model order 4

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 5
## singularities in the computation of the projection matrix results are only valid
## up to model order 4

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 5
## singularities in the computation of the projection matrix results are only valid
## up to model order 4

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 5
## singularities in the computation of the projection matrix results are only valid
## up to model order 4

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 4
## singularities in the computation of the projection matrix results are only valid
## up to model order 3

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 5
## singularities in the computation of the projection matrix results are only valid
## up to model order 4

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 5
## singularities in the computation of the projection matrix results are only valid
## up to model order 4

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 5
## singularities in the computation of the projection matrix results are only valid
## up to model order 4

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 4
## singularities in the computation of the projection matrix results are only valid
## up to model order 3

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 5
## singularities in the computation of the projection matrix results are only valid
## up to model order 4

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 5
## singularities in the computation of the projection matrix results are only valid
## up to model order 4

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 5
## singularities in the computation of the projection matrix results are only valid
## up to model order 4

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 5
## singularities in the computation of the projection matrix results are only valid
## up to model order 4

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 5
## singularities in the computation of the projection matrix results are only valid
## up to model order 4

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 4
## singularities in the computation of the projection matrix results are only valid
## up to model order 3

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 5
## singularities in the computation of the projection matrix results are only valid
## up to model order 4

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 5
## singularities in the computation of the projection matrix results are only valid
## up to model order 4

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 5
## singularities in the computation of the projection matrix results are only valid
## up to model order 4

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 5
## singularities in the computation of the projection matrix results are only valid
## up to model order 4

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 5
## singularities in the computation of the projection matrix results are only valid
## up to model order 4

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 3
## singularities in the computation of the projection matrix results are only valid
## up to model order 2

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 4
## singularities in the computation of the projection matrix results are only valid
## up to model order 3

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 5
## singularities in the computation of the projection matrix results are only valid
## up to model order 4

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 5
## singularities in the computation of the projection matrix results are only valid
## up to model order 4

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 1
## singularities in the computation of the projection matrix results are only valid
## up to model order 0

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 2
## singularities in the computation of the projection matrix results are only valid
## up to model order 1

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 3
## singularities in the computation of the projection matrix results are only valid
## up to model order 2

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 4
## singularities in the computation of the projection matrix results are only valid
## up to model order 3

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 5
## singularities in the computation of the projection matrix results are only valid
## up to model order 4

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 1
## singularities in the computation of the projection matrix results are only valid
## up to model order 0

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 2
## singularities in the computation of the projection matrix results are only valid
## up to model order 1

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 3
## singularities in the computation of the projection matrix results are only valid
## up to model order 2

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 4
## singularities in the computation of the projection matrix results are only valid
## up to model order 3

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 5
## singularities in the computation of the projection matrix results are only valid
## up to model order 4

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 1
## singularities in the computation of the projection matrix results are only valid
## up to model order 0

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 2
## singularities in the computation of the projection matrix results are only valid
## up to model order 1

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 3
## singularities in the computation of the projection matrix results are only valid
## up to model order 2

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 4
## singularities in the computation of the projection matrix results are only valid
## up to model order 3

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 5
## singularities in the computation of the projection matrix results are only valid
## up to model order 4

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 3
## singularities in the computation of the projection matrix results are only valid
## up to model order 2

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 4
## singularities in the computation of the projection matrix results are only valid
## up to model order 3

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 5
## singularities in the computation of the projection matrix results are only valid
## up to model order 4

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 1
## singularities in the computation of the projection matrix results are only valid
## up to model order 0

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 2
## singularities in the computation of the projection matrix results are only valid
## up to model order 1

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 3
## singularities in the computation of the projection matrix results are only valid
## up to model order 2

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 4
## singularities in the computation of the projection matrix results are only valid
## up to model order 3

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 5
## singularities in the computation of the projection matrix results are only valid
## up to model order 4

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 5
## singularities in the computation of the projection matrix results are only valid
## up to model order 4

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 1
## singularities in the computation of the projection matrix results are only valid
## up to model order 0

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 2
## singularities in the computation of the projection matrix results are only valid
## up to model order 1

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 3
## singularities in the computation of the projection matrix results are only valid
## up to model order 2

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 4
## singularities in the computation of the projection matrix results are only valid
## up to model order 3

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 5
## singularities in the computation of the projection matrix results are only valid
## up to model order 4

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 5
## singularities in the computation of the projection matrix results are only valid
## up to model order 4

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 5
## singularities in the computation of the projection matrix results are only valid
## up to model order 4

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 1
## singularities in the computation of the projection matrix results are only valid
## up to model order 0

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 2
## singularities in the computation of the projection matrix results are only valid
## up to model order 1

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 3
## singularities in the computation of the projection matrix results are only valid
## up to model order 2

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 4
## singularities in the computation of the projection matrix results are only valid
## up to model order 3

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 5
## singularities in the computation of the projection matrix results are only valid
## up to model order 4

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 5
## singularities in the computation of the projection matrix results are only valid
## up to model order 4

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 4
## singularities in the computation of the projection matrix results are only valid
## up to model order 3

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 5
## singularities in the computation of the projection matrix results are only valid
## up to model order 4

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 3
## singularities in the computation of the projection matrix results are only valid
## up to model order 2

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 5
## singularities in the computation of the projection matrix results are only valid
## up to model order 4

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 4
## singularities in the computation of the projection matrix results are only valid
## up to model order 3

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 5
## singularities in the computation of the projection matrix results are only valid
## up to model order 4

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 5
## singularities in the computation of the projection matrix results are only valid
## up to model order 4

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 5
## singularities in the computation of the projection matrix results are only valid
## up to model order 4

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 4
## singularities in the computation of the projection matrix results are only valid
## up to model order 3

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 5
## singularities in the computation of the projection matrix results are only valid
## up to model order 4

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 4
## singularities in the computation of the projection matrix results are only valid
## up to model order 3

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 5
## singularities in the computation of the projection matrix results are only valid
## up to model order 4

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 2
## singularities in the computation of the projection matrix results are only valid
## up to model order 1

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 3
## singularities in the computation of the projection matrix results are only valid
## up to model order 2

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 5
## singularities in the computation of the projection matrix results are only valid
## up to model order 4

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 1
## singularities in the computation of the projection matrix results are only valid
## up to model order 0

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 2
## singularities in the computation of the projection matrix results are only valid
## up to model order 1

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 4
## singularities in the computation of the projection matrix results are only valid
## up to model order 3

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 5
## singularities in the computation of the projection matrix results are only valid
## up to model order 4

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 5
## singularities in the computation of the projection matrix results are only valid
## up to model order 4

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 2
## singularities in the computation of the projection matrix results are only valid
## up to model order 1

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 3
## singularities in the computation of the projection matrix results are only valid
## up to model order 2

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 1
## singularities in the computation of the projection matrix results are only valid
## up to model order 0

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 4
## singularities in the computation of the projection matrix results are only valid
## up to model order 3

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 5
## singularities in the computation of the projection matrix results are only valid
## up to model order 4

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 4
## singularities in the computation of the projection matrix results are only valid
## up to model order 3

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 5
## singularities in the computation of the projection matrix results are only valid
## up to model order 4

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 5
## singularities in the computation of the projection matrix results are only valid
## up to model order 4

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 4
## singularities in the computation of the projection matrix results are only valid
## up to model order 3

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 5
## singularities in the computation of the projection matrix results are only valid
## up to model order 4

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 5
## singularities in the computation of the projection matrix results are only valid
## up to model order 4

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 3
## singularities in the computation of the projection matrix results are only valid
## up to model order 2

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 4
## singularities in the computation of the projection matrix results are only valid
## up to model order 3

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 5
## singularities in the computation of the projection matrix results are only valid
## up to model order 4

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 5
## singularities in the computation of the projection matrix results are only valid
## up to model order 4

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 3
## singularities in the computation of the projection matrix results are only valid
## up to model order 2

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 4
## singularities in the computation of the projection matrix results are only valid
## up to model order 3

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 2
## singularities in the computation of the projection matrix results are only valid
## up to model order 1

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 3
## singularities in the computation of the projection matrix results are only valid
## up to model order 2

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 4
## singularities in the computation of the projection matrix results are only valid
## up to model order 3

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 5
## singularities in the computation of the projection matrix results are only valid
## up to model order 4

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 3
## singularities in the computation of the projection matrix results are only valid
## up to model order 2

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 4
## singularities in the computation of the projection matrix results are only valid
## up to model order 3

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 5
## singularities in the computation of the projection matrix results are only valid
## up to model order 4

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 3
## singularities in the computation of the projection matrix results are only valid
## up to model order 2

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 4
## singularities in the computation of the projection matrix results are only valid
## up to model order 3

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 5
## singularities in the computation of the projection matrix results are only valid
## up to model order 4

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 4
## singularities in the computation of the projection matrix results are only valid
## up to model order 3

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 5
## singularities in the computation of the projection matrix results are only valid
## up to model order 4

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 5
## singularities in the computation of the projection matrix results are only valid
## up to model order 4

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 5
## singularities in the computation of the projection matrix results are only valid
## up to model order 4

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 4
## singularities in the computation of the projection matrix results are only valid
## up to model order 3

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 5
## singularities in the computation of the projection matrix results are only valid
## up to model order 4

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 2
## singularities in the computation of the projection matrix results are only valid
## up to model order 1

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 5
## singularities in the computation of the projection matrix results are only valid
## up to model order 4

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 1
## singularities in the computation of the projection matrix results are only valid
## up to model order 0

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 3
## singularities in the computation of the projection matrix results are only valid
## up to model order 2

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 4
## singularities in the computation of the projection matrix results are only valid
## up to model order 3

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 5
## singularities in the computation of the projection matrix results are only valid
## up to model order 4

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 5
## singularities in the computation of the projection matrix results are only valid
## up to model order 4

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 5
## singularities in the computation of the projection matrix results are only valid
## up to model order 4

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 3
## singularities in the computation of the projection matrix results are only valid
## up to model order 2

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 4
## singularities in the computation of the projection matrix results are only valid
## up to model order 3

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 5
## singularities in the computation of the projection matrix results are only valid
## up to model order 4

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 3
## singularities in the computation of the projection matrix results are only valid
## up to model order 2

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 4
## singularities in the computation of the projection matrix results are only valid
## up to model order 3

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 5
## singularities in the computation of the projection matrix results are only valid
## up to model order 4

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 4
## singularities in the computation of the projection matrix results are only valid
## up to model order 3

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 5
## singularities in the computation of the projection matrix results are only valid
## up to model order 4

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 5
## singularities in the computation of the projection matrix results are only valid
## up to model order 4

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 3
## singularities in the computation of the projection matrix results are only valid
## up to model order 2

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 4
## singularities in the computation of the projection matrix results are only valid
## up to model order 3

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 4
## singularities in the computation of the projection matrix results are only valid
## up to model order 3

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 5
## singularities in the computation of the projection matrix results are only valid
## up to model order 4

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 5
## singularities in the computation of the projection matrix results are only valid
## up to model order 4

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 1
## singularities in the computation of the projection matrix results are only valid
## up to model order 0

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 1
## singularities in the computation of the projection matrix results are only valid
## up to model order 0

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 4
## singularities in the computation of the projection matrix results are only valid
## up to model order 3

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 5
## singularities in the computation of the projection matrix results are only valid
## up to model order 4

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 5
## singularities in the computation of the projection matrix results are only valid
## up to model order 4

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 5
## singularities in the computation of the projection matrix results are only valid
## up to model order 4

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 4
## singularities in the computation of the projection matrix results are only valid
## up to model order 3

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 5
## singularities in the computation of the projection matrix results are only valid
## up to model order 4

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 5
## singularities in the computation of the projection matrix results are only valid
## up to model order 4

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 5
## singularities in the computation of the projection matrix results are only valid
## up to model order 4

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 5
## singularities in the computation of the projection matrix results are only valid
## up to model order 4

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 4
## singularities in the computation of the projection matrix results are only valid
## up to model order 3

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 5
## singularities in the computation of the projection matrix results are only valid
## up to model order 4

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 5
## singularities in the computation of the projection matrix results are only valid
## up to model order 4

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 5
## singularities in the computation of the projection matrix results are only valid
## up to model order 4

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 5
## singularities in the computation of the projection matrix results are only valid
## up to model order 4

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 4
## singularities in the computation of the projection matrix results are only valid
## up to model order 3

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 5
## singularities in the computation of the projection matrix results are only valid
## up to model order 4

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 5
## singularities in the computation of the projection matrix results are only valid
## up to model order 4

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 5
## singularities in the computation of the projection matrix results are only valid
## up to model order 4

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 5
## singularities in the computation of the projection matrix results are only valid
## up to model order 4

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 4
## singularities in the computation of the projection matrix results are only valid
## up to model order 3

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 5
## singularities in the computation of the projection matrix results are only valid
## up to model order 4

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 4
## singularities in the computation of the projection matrix results are only valid
## up to model order 3

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 5
## singularities in the computation of the projection matrix results are only valid
## up to model order 4

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 4
## singularities in the computation of the projection matrix results are only valid
## up to model order 3

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 5
## singularities in the computation of the projection matrix results are only valid
## up to model order 4

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 5
## singularities in the computation of the projection matrix results are only valid
## up to model order 4

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 5
## singularities in the computation of the projection matrix results are only valid
## up to model order 4

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 4
## singularities in the computation of the projection matrix results are only valid
## up to model order 3

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 5
## singularities in the computation of the projection matrix results are only valid
## up to model order 4

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 5
## singularities in the computation of the projection matrix results are only valid
## up to model order 4

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 5
## singularities in the computation of the projection matrix results are only valid
## up to model order 4

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 5
## singularities in the computation of the projection matrix results are only valid
## up to model order 4

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 5
## singularities in the computation of the projection matrix results are only valid
## up to model order 4

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 5
## singularities in the computation of the projection matrix results are only valid
## up to model order 4

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 5
## singularities in the computation of the projection matrix results are only valid
## up to model order 4

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 5
## singularities in the computation of the projection matrix results are only valid
## up to model order 4

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 5
## singularities in the computation of the projection matrix results are only valid
## up to model order 4

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 5
## singularities in the computation of the projection matrix results are only valid
## up to model order 4

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 5
## singularities in the computation of the projection matrix results are only valid
## up to model order 4

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 5
## singularities in the computation of the projection matrix results are only valid
## up to model order 4

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 5
## singularities in the computation of the projection matrix results are only valid
## up to model order 4

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 5
## singularities in the computation of the projection matrix results are only valid
## up to model order 4

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 5
## singularities in the computation of the projection matrix results are only valid
## up to model order 4

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 5
## singularities in the computation of the projection matrix results are only valid
## up to model order 4

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 5
## singularities in the computation of the projection matrix results are only valid
## up to model order 4

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 5
## singularities in the computation of the projection matrix results are only valid
## up to model order 4

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 4
## singularities in the computation of the projection matrix results are only valid
## up to model order 3

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 5
## singularities in the computation of the projection matrix results are only valid
## up to model order 4

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 5
## singularities in the computation of the projection matrix results are only valid
## up to model order 4

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 4
## singularities in the computation of the projection matrix results are only valid
## up to model order 3

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 5
## singularities in the computation of the projection matrix results are only valid
## up to model order 4

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 5
## singularities in the computation of the projection matrix results are only valid
## up to model order 4

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 5
## singularities in the computation of the projection matrix results are only valid
## up to model order 4

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 4
## singularities in the computation of the projection matrix results are only valid
## up to model order 3

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 5
## singularities in the computation of the projection matrix results are only valid
## up to model order 4

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 4
## singularities in the computation of the projection matrix results are only valid
## up to model order 3

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 5
## singularities in the computation of the projection matrix results are only valid
## up to model order 4

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 4
## singularities in the computation of the projection matrix results are only valid
## up to model order 3

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 5
## singularities in the computation of the projection matrix results are only valid
## up to model order 4

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 5
## singularities in the computation of the projection matrix results are only valid
## up to model order 4

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 5
## singularities in the computation of the projection matrix results are only valid
## up to model order 4

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 5
## singularities in the computation of the projection matrix results are only valid
## up to model order 4

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 5
## singularities in the computation of the projection matrix results are only valid
## up to model order 4

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 3
## singularities in the computation of the projection matrix results are only valid
## up to model order 2

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 4
## singularities in the computation of the projection matrix results are only valid
## up to model order 3

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 5
## singularities in the computation of the projection matrix results are only valid
## up to model order 4

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 2
## singularities in the computation of the projection matrix results are only valid
## up to model order 1

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 3
## singularities in the computation of the projection matrix results are only valid
## up to model order 2

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 4
## singularities in the computation of the projection matrix results are only valid
## up to model order 3

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 5
## singularities in the computation of the projection matrix results are only valid
## up to model order 4

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 4
## singularities in the computation of the projection matrix results are only valid
## up to model order 3

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 5
## singularities in the computation of the projection matrix results are only valid
## up to model order 4

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 2
## singularities in the computation of the projection matrix results are only valid
## up to model order 1

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 3
## singularities in the computation of the projection matrix results are only valid
## up to model order 2

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 4
## singularities in the computation of the projection matrix results are only valid
## up to model order 3

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 5
## singularities in the computation of the projection matrix results are only valid
## up to model order 4

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 4
## singularities in the computation of the projection matrix results are only valid
## up to model order 3

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 5
## singularities in the computation of the projection matrix results are only valid
## up to model order 4

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 5
## singularities in the computation of the projection matrix results are only valid
## up to model order 4

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 5
## singularities in the computation of the projection matrix results are only valid
## up to model order 4

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 5
## singularities in the computation of the projection matrix results are only valid
## up to model order 4

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 5
## singularities in the computation of the projection matrix results are only valid
## up to model order 4

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 5
## singularities in the computation of the projection matrix results are only valid
## up to model order 4

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 5
## singularities in the computation of the projection matrix results are only valid
## up to model order 4

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 4
## singularities in the computation of the projection matrix results are only valid
## up to model order 3

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 5
## singularities in the computation of the projection matrix results are only valid
## up to model order 4

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 4
## singularities in the computation of the projection matrix results are only valid
## up to model order 3

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 5
## singularities in the computation of the projection matrix results are only valid
## up to model order 4

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 5
## singularities in the computation of the projection matrix results are only valid
## up to model order 4

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 4
## singularities in the computation of the projection matrix results are only valid
## up to model order 3

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 5
## singularities in the computation of the projection matrix results are only valid
## up to model order 4

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 4
## singularities in the computation of the projection matrix results are only valid
## up to model order 3

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 5
## singularities in the computation of the projection matrix results are only valid
## up to model order 4

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 5
## singularities in the computation of the projection matrix results are only valid
## up to model order 4

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 5
## singularities in the computation of the projection matrix results are only valid
## up to model order 4

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 4
## singularities in the computation of the projection matrix results are only valid
## up to model order 3

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 5
## singularities in the computation of the projection matrix results are only valid
## up to model order 4

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 5
## singularities in the computation of the projection matrix results are only valid
## up to model order 4

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 4
## singularities in the computation of the projection matrix results are only valid
## up to model order 3

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 5
## singularities in the computation of the projection matrix results are only valid
## up to model order 4

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 4
## singularities in the computation of the projection matrix results are only valid
## up to model order 3

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 5
## singularities in the computation of the projection matrix results are only valid
## up to model order 4

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 6
## singularities in the computation of the projection matrix results are only valid
## up to model order 5

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 7
## singularities in the computation of the projection matrix results are only valid
## up to model order 6

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 8
## singularities in the computation of the projection matrix results are only valid
## up to model order 7

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 9
## singularities in the computation of the projection matrix results are only valid
## up to model order 8

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 10
## singularities in the computation of the projection matrix results are only valid
## up to model order 9

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 11
## singularities in the computation of the projection matrix results are only valid
## up to model order 10

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 12
## singularities in the computation of the projection matrix results are only valid
## up to model order 11

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 13
## singularities in the computation of the projection matrix results are only valid
## up to model order 12

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 14
## singularities in the computation of the projection matrix results are only valid
## up to model order 13

## Warning in estimate_ar(y, args$p, xreg, args$constant, fixed): model order: 15
## singularities in the computation of the projection matrix results are only valid
## up to model order 14

## Warning: 1 error encountered for arima
## [1] argument must be coercible to non-negative integer

## Warning: 7001 errors (1 unique) encountered for <environment>
## [7001] Non-seasonal model specification provided, use RW() or provide a different lag specification.

## Warning: 18 errors (1 unique) encountered for theta
## [18] Not enough data to estimate this ETS model.

## Warning: 18 errors (1 unique) encountered for ets
## [18] Not enough data to estimate this ETS model.

## Warning: 12 errors (1 unique) encountered for nnetar
## [12] Not enough data to fit a model

## Warning: 1210 errors (1 unique) encountered for croston
## [1210] All observations must be non-negative for Croston's method.

## Warning: 811 errors (2 unique) encountered for ar
## [7] missing value where TRUE/FALSE needed
## [804] wrong embedding dimension

qs::qsave( models, file = paste0( "models_",part,"_", Sys.Date(),
                                      "_",
                                      experiment_run, ".qs" ),
           nthreads = 12)

forecast_models( train_test[["test"]], models[["models"]] ) -> forecasts
qs::qsave( forecasts, file = paste0( "forecasts_",part,"_", Sys.Date(),
                                  "_",
                                  experiment_run, ".qs" ),
           nthreads = 12)

accuracies <- fabletools::accuracy(forecasts[["forecasts"]], train_test[["test"]])

qs::qsave( accuracies, file = paste0( "accuracies_",part,"_", Sys.Date(),
                                     "_",
                                     experiment_run, ".qs" ),
           nthreads = 12)